# 9.7: Angles On and Inside a Circle

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**Practice**Angles On and Inside a Circle

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central angle

An angle formed by two radii and whose vertex is at the center of the circle.chord

A line segment whose endpoints are on a circle.diameter

A chord that passes through the center of the circle. The length of a diameter is two times the length of a radius.inscribed angle

An angle with its vertex on the circle and whose sides are chords.intercepted arc

The arc that is inside an inscribed angle and whose endpoints are on the angle.point of tangency

The point where the tangent line touches the circle.Chord/Tangent Angle Theorem

The Chord/Tangent Angle Theorem states that the measure of an angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.Intersecting Chords Angle Theorem

The Intersecting Chords Angle Theorem states that the measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.### Image Attributions

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This concept teaches students how to find angles on and inside a circle created by chords and tangent lines.

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At Grade
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Date Created:

Jul 17, 2012
Last Modified:

Oct 06, 2016
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